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The contrastive hierarchy in phonology 2009 Dresher.pdf - CUNY ...

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(2.21) Three-vowel system, features [high], [round], [back]<br />

a. Full specifications<br />

i a u<br />

high + – +<br />

round – – +<br />

back – + +<br />

b. Specifications accord<strong>in</strong>g to the pairwise approach<br />

i a u M<strong>in</strong>imal pairs<br />

high none<br />

round none<br />

back none<br />

2.5.3. M<strong>in</strong>imal pairs and feature space<br />

We can approach the problem of algorithms that depend on m<strong>in</strong>imal pairs by<br />

consider<strong>in</strong>g more generally how <strong>in</strong>ventories fill out the available space of feature<br />

specifications. Two b<strong>in</strong>ary features, F and G, def<strong>in</strong>e a two-dimensional feature<br />

space with nodes at four possible values: [–F, –G], [–F, +G], [+F, –G], and [+F,<br />

+G]. This space can be diagramed as <strong>in</strong> (2.22). 8<br />

8 Compare the <strong>in</strong>formation-theoretic adjacency graphs employed by Shannon (1993 [1956]); see<br />

Hall (2004, 2007) for discussion.<br />

38

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